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Real time correlations in the Fermi-Hubbard model

Ehsan Khatami, Matthew A. Nichols, Melih Okan +5 more

Bulletin of the American Physical SocietyMay 30, 20180 citations

Observation of antiferromagnetic correlations in the Fermi-Hubbard model

Russell Hart, Pedro Duarte, Tsung‐Lin Yang +6 more

Bulletin of the American Physical SocietyMar 3, 20140 citations

Spatial Charge and Spin Correlations in the Fermi-Hubbard Model

Martin W. Zwierlein

Bulletin of the American Physical SocietyMar 16, 20170 citations

Observation of charge density wave correlations in the attractive Fermi-Hubbard model

Debayan Mitra, Peter Brown, Elmer Guardado-Sanchez +2 more

Bulletin of the American Physical SocietyJun 6, 20170 citations

Dominant Fifth-Order Correlations in Doped Quantum Antiferromagnets

Annabelle Bohrdt, Yao Wang, Joannis Koepsell +3 more

Traditionally, one- and two-point correlation functions are used to characterize many-body systems. In strongly correlated quantum materials, such as the doped 2D Fermi-Hubbard system, these may no longer be sufficient, because higher-order correlations are crucial to understanding the character of the many-body system and can be numerically dominant. Experimentally, such higher-order correlations have recently become accessible in ultracold atom systems. Here, we reveal strong non-Gaussian correlations in doped quantum antiferromagnets and show that higher-order correlations dominate over lower-order terms. We study a single mobile hole in the t-J model using the density matrix renormalization group and reveal genuine fifth-order correlations which are directly related to the mobility of the dopant. We contrast our results to predictions using models based on doped quantum spin liquids which feature significantly reduced higher-order correlations. Our predictions can be tested at the lowest currently accessible temperatures in quantum simulators of the 2D Fermi-Hubbard model. Finally, we propose to experimentally study the same fifth-order spin-charge correlations as a function of doping. This will help to reveal the microscopic nature of charge carriers in the most debated regime of the Hubbard model, relevant for understanding high-T_{c} superconductivity.Traditionally, one- and two-point correlation functions are used to characterize many-body systems. In strongly correlated quantum materials, such as the doped 2D Fermi-Hubbard system, these may no longer be sufficient, because higher-order correlations are crucial to understanding the character of the many-body system and can be numerically dominant. Experimentally, such higher-order correlations have recently become accessible in ultracold atom systems. Here, we reveal strong non-Gaussian correlations in doped quantum antiferromagnets and show that higher-order correlations dominate over lower-order terms. We study a single mobile hole in the t-J model using the density matrix renormalization group and reveal genuine fifth-order correlations which are directly related to the mobility of the dopant. We contrast our results to predictions using models based on doped quantum spin liquids which feature significantly reduced higher-order correlations. Our predictions can be tested at the lowest currently accessible temperatures in quantum simulators of the 2D Fermi-Hubbard model. Finally, we propose to experimentally study the same fifth-order spin-charge correlations as a function of doping. This will help to reveal the microscopic nature of charge carriers in the most debated regime of the Hubbard model, relevant for understanding high-T_{c} superconductivity.

arXiv:2007.07249Physical Review LettersJan 12, 202122 citations

Multiple particle-hole pair creation in the harmonically driven Fermi-Hubbard model

Nicolai ten Brinke, Manuel Ligges, U. Bovensiepen +1 more

We study the Fermi-Hubbard model in the strongly correlated Mott phase under the influence of a harmonically oscillating hopping rate $J(t)={J}_{0}+\mathrm{\ensuremath{\Delta}}Jcos(\ensuremath{\omega}t)$. Apart from the well-known fundamental resonance, where the frequency $\ensuremath{\omega}$ of this oscillation equals (or a little exceeds) the Mott gap, we also find higher-order resonances where multiple particle-hole pairs are created when $\ensuremath{\omega}$ is near an integer multiple of the gap. These findings should be relevant for experimental realizations such as ultracold fermionic atoms in optical lattices or pump-probe experiments using laser pulses incident on correlated electrons in solid-state materials.We study the Fermi-Hubbard model in the strongly correlated Mott phase under the influence of a harmonically oscillating hopping rate $J(t)={J}_{0}+\mathrm{\ensuremath{\Delta}}Jcos(\ensuremath{\omega}t)$. Apart from the well-known fundamental resonance, where the frequency $\ensuremath{\omega}$ of this oscillation equals (or a little exceeds) the Mott gap, we also find higher-order resonances where multiple particle-hole pairs are created when $\ensuremath{\omega}$ is near an integer multiple of the gap. These findings should be relevant for experimental realizations such as ultracold fermionic atoms in optical lattices or pump-probe experiments using laser pulses incident on correlated electrons in solid-state materials.

arXiv:1602.00871Physical review. B./Physical review. BMay 10, 20171 citation

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